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All the ideas for 'Abstract Objects: a Case Study', 'Outlines of Pyrrhonism' and 'Community'

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50 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
You cannot divide anything into many parts, because after the first division you are no longer dividing the original [Sext.Empiricus]
     Full Idea: You cannot divide anything (such as the decad) into many parts, because as soon as you separate the first part, you are no longer dividing the original.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.215)
2. Reason / E. Argument / 6. Conclusive Proof
Proof moves from agreed premises to a non-evident inference [Sext.Empiricus]
     Full Idea: Dogmatists define proof as "an argument which, by means of agreed premises, reveals by way of deduction a nonevident inference".
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.135)
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A valid hypothetical syllogism is 'that which does not begin with a truth and end with a falsehood' [Sext.Empiricus]
     Full Idea: Philo (of Megara) says that a valid hypothetical syllogism is 'that which does not begin with a truth and end with a falsehood,' as for instance the syllogism 'If it is day, I converse,' when in fact it is day and I am conversing.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.110)
     A reaction: Russell endorses this, and Rumfitt quotes it as the classic case of denying that there is any modal aspect (such as 'logical necessity') involved in logical consequence. He labels it 'material or Philonian consequence'.
5. Theory of Logic / L. Paradox / 7. Paradoxes of Time
Since Socrates either died when he was alive (a contradiction) or died when he was dead (meaningless), he didn't die [Sext.Empiricus]
     Full Idea: If Socrates died, he died either when he lived or when he died; so he was either dead when he was alive, or he was twice dead when he was dead. So he didn't die.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.111)
     A reaction: One of my favourites. Of all the mysteries facing us, the one that boggles me most is how anything can happen in the 'present' moment, if the present is just the overlap point between past and future.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
     Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
     A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
     Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
     A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
If an argument has an absurd conclusion, we should not assent to the absurdity, but avoid the absurd argument [Sext.Empiricus]
     Full Idea: If an argument leads to confessedly absurd conclusions, we should not assent to the absurdity just because of the argument, but avoid the argument because of the absurdity.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.252)
     A reaction: cf. G.E.Moore. Denying that you have a hand seems to be an absurdity, but I'm not sure if I can give a criterion for absurdity in such a case. One person's modus ponens is another person's modus tollens.
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / c. Representative realism
Whether honey is essentially sweet may be doubted, as it is a matter of judgement rather than appearance [Sext.Empiricus]
     Full Idea: Honey appears to sceptics to be sweet, but whether it is also sweet in its essence is for us a matter of doubt, since this is not an appearance but a judgement.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.20)
12. Knowledge Sources / B. Perception / 5. Interpretation
How can the intellect know if sensation is reliable if it doesn't directly see external objects? [Sext.Empiricus]
     Full Idea: Just as you can't know if a portrait of Socrates is good without seeing the man, so when the intellect gazes on sensations but not the external objects it cannot know whether they are similar.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.75)
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
We distinguish ambiguities by seeing what is useful [Sext.Empiricus]
     Full Idea: It is the experience of what is useful in each affair that brings about the distinguishing of ambiguities.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.258)
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
The basis of scepticism is the claim that every proposition has an equal opposing proposition [Sext.Empiricus]
     Full Idea: The main basic principle of the sceptic system is that of opposing to every proposition an equal proposition.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.12)
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
The same tower appears round from a distance, but square close at hand [Sext.Empiricus]
     Full Idea: The same tower appears round from a distance, but square close at hand.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.32)
The necks of doves appear different in colour depending on the angle of viewing [Sext.Empiricus]
     Full Idea: The necks of doves appear different in hue according to the differences in the angle of inclination.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.120)
The same oar seems bent in water and straight when out of it [Sext.Empiricus]
     Full Idea: The same oar seems bent when in the water but straight when out of the water.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.119)
If we press the side of an eyeball, objects appear a different shape [Sext.Empiricus]
     Full Idea: When we press the eyeball at one side the forms, figures and sizes of the objects appear oblong and narrow.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.47)
13. Knowledge Criteria / E. Relativism / 1. Relativism
How can we judge between our impressions and those of other animals, when we ourselves are involved? [Sext.Empiricus]
     Full Idea: We cannot judge between our own impressions and those of other animals, because we ourselves are involved in the dispute.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.59)
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
Some actions seem shameful when sober but not when drunk [Sext.Empiricus]
     Full Idea: Actions which seem shameful to us when sober do not seem shameful when drunk.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.109)
Sickness is perfectly natural to the sick, so their natural perceptions should carry some weight [Sext.Empiricus]
     Full Idea: Health is natural for the healthy but unnatural for the sick, and sickness is unnatural for the healthy but natural for the sick, so we must give credence to the natural perceptions of the sick.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.103)
Water that seems lukewarm can seem very hot on inflamed skin [Sext.Empiricus]
     Full Idea: The same water which seems very hot when poured on inflamed spots seems lukewarm to us.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.101)
If we had no hearing or sight, we would assume no sound or sight exists, so there may be unsensed qualities [Sext.Empiricus]
     Full Idea: A man with touch, taste and smell, but no hearing or sight, will assume nothing audible or visible exists, so maybe an apple has qualities which we have no senses to perceive.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.96)
If we enjoy different things, presumably we receive different impressions [Sext.Empiricus]
     Full Idea: The enjoyment of different things is an indication that we get varying impressions from the underlying objects.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], I.80)
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
With us it is shameful for men to wear earrings, but among Syrians it is considered noble [Sext.Empiricus]
     Full Idea: It is a shameful thing with us for men to wear earrings, but among some of the barbarians, such as the Syrians, it is a token of nobility.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.203)
Even if all known nations agree on a practice, there may be unknown nations which disagree [Sext.Empiricus]
     Full Idea: Even among practices on which all known cultures are agreed, disagreement about them may possibly exist amongst some of the nations which are unknown to us.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.234)
14. Science / C. Induction / 3. Limits of Induction
If you don't view every particular, you may miss the one which disproves your universal induction [Sext.Empiricus]
     Full Idea: Induction cannot establish the universal by means of the particular, since limited particulars may omit crucial examples which disprove the universal, and infinite particulars are impossible to know.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.204)
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
If we utter three steps of a logical argument, they never exist together [Sext.Empiricus]
     Full Idea: If we say "If day exists, lights exists", and then "day exists", and then "light exists", then parts of the judgement never exist together, and so the whole judgement will have no real existence.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], II.109)
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Liberal state legitimacy is based on a belief in justice, not in some conception of the good life [Kymlicka]
     Full Idea: For liberals the basis of state legitimacy is a shared sense of justice, not a shared conception of the good.
     From: Will Kymlicka (Community [1993], 'legitimacy')
     A reaction: For a liberal state to work, the citizens have to roughly believe in the core values of liberalism, which are primarily freedom and equality (and hence justice).
24. Political Theory / B. Nature of a State / 5. Culture
Liberals say state intervention in culture restricts people's autonomy [Kymlicka]
     Full Idea: According to liberal theory, a state which intervenes in the cultural market place to encourage any particular way of life restricts people's autonomy.
     From: Will Kymlicka (Community [1993], 'social')
     A reaction: The communitarian idea is that the state should intervene, in order to foster the best aspects of communal culture. The dangers are obvious, and can be seen in any totalitarian state. A gentle hand on the tiller, perhaps? Increase the options?
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Modern liberals see a community as simply a society which respects freedom and equality [Kymlicka]
     Full Idea: Most contemporary liberal philosophers have little to say about the ideal of community. …It is often seen as derivative of liberty and equality - a society lives up to the ideal of community if its members are treated as free and equal persons.
     From: Will Kymlicka (Community [1993], 'Intro')
     A reaction: He cites Rawls as an example. This is the central idea which was attacked by modern communitarians. A collection of scattered self-seeking isolated individuals doesn't seem to amount to a healthy communal life. Maybe community needs further rights?
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Community can focus on class or citizenship or ethnicity or culture [Kymlicka]
     Full Idea: In recent centuries the ideal of community has taken many forms, from class solidarity or shared citizenship to a common ethnic descent or cultural identity.
     From: Will Kymlicka (Community [1993], 'Intro')
     A reaction: Language and religion are not explicitly mentioned, but must be implied. Supporting a major sports team is also worth mentioning.
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Communitarianism struggles with excluded marginalised groups [Kymlicka]
     Full Idea: The problem of the exclusion of historically marginalised groups is endemic to the communitarian project.
     From: Will Kymlicka (Community [1993], 'legitimacy')
     A reaction: Put simply, old-fashioned styles of community are probably impossible in large modern states, some with rather arbitrary borders.
Feminism has shown that social roles are far from fixed (as communitarians tend to see them) [Kymlicka]
     Full Idea: Communitarians say that some of our social roles must be regarded as fixed when planning our lives, …but the women's movement has shown how deeply entrenched social roles can be questioned and rejected.
     From: Will Kymlicka (Community [1993], 'Embedded')
     A reaction: True, but parents walking out on young children also shows that. The ideal must be some sort of balance.
Participation aids the quest for the good life, but why should that be a state activity? [Kymlicka]
     Full Idea: Communitarians rarely distinguish between collective activities and political activities. Shared participation aids intelligent decisions about the good life, but why should that be organised through the state, rather than by free individuals?
     From: Will Kymlicka (Community [1993], 'need')
     A reaction: Kylicka points out later that local groups can be very unintelligent or prejudiced. Modern media have changed that picture, because participation can be with geographically remote people.
25. Social Practice / D. Justice / 1. Basis of justice
Communitarians see justice as primarily a community matter, rather than a principle [Kymlicka]
     Full Idea: Communitarians believe either that community replaces the need for principles of justice, or that the community is either the source of such principles or should play a greater role in deciding their content.
     From: Will Kymlicka (Community [1993], 'Intro')
     A reaction: [compressed] The idea that a racist or chauvinist or puritanical or insular community should decide justice for all its members sounds horrible. It drives you to liberal individualism, just thinking about it.
Justice resolves conflicts, but may also provoke them [Kymlicka]
     Full Idea: Justice can help mediate conflicts, but it also tends to creat conflicts, and to decrease the natural expression of sociability.
     From: Will Kymlicka (Community [1993], 'limits')
     A reaction: [He is discussing Michael Sandel on liberalism] Family life might not go well if all of its members continually demanded justice for themselves as individuals. Maybe our concept of justice is too individualistic? Do we need a sense of 'group' justice?
26. Natural Theory / C. Causation / 4. Naturalised causation
Some say that causes are physical, some say not [Sext.Empiricus]
     Full Idea: Some affirm cause to be corporeal, some incorporeal.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.14)
26. Natural Theory / C. Causation / 7. Eliminating causation
Knowing an effect results from a cause means knowing that the cause belongs with the effect, which is circular [Sext.Empiricus]
     Full Idea: To know an effect belongs to a cause, we must also know that that cause belongs to that effect, and this is circular.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.21)
Cause can't exist before effect, or exist at the same time, so it doesn't exist [Sext.Empiricus]
     Full Idea: If cause neither subsists before its effect, nor subsists along with it, nor does the effect precede the cause, it would seem that it has no substantial existence at all.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.27)
If there were no causes then everything would have been randomly produced by everything [Sext.Empiricus]
     Full Idea: If causes were non-existent everything would have been produced by everything, and at random.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.18)
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Causes are either equal to the effect, or they link equally with other causes, or they contribute slightly [Sext.Empiricus]
     Full Idea: The majority say causes are immediate (when they are directly proportional to effects), or associate (making an equal contribution to effects), or cooperant (making a slight contribution).
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.15)
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Does the original self-mover push itself from behind, or pull itself from in front? [Sext.Empiricus]
     Full Idea: Self-movement must move in some particular direction, but if it pushes it will be behind itself, and if it pulls it will be in front of itself.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.68)
     A reaction: This is the same as Aquinas's First Way of proving God's existence.
If time and place are infinitely divided, it becomes impossible for movement ever to begin [Sext.Empiricus]
     Full Idea: If bodies, and the places and times when they are said to move, are divided into infinity, motion will not occur, it being impossible to find anything which will initiate the first movement.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.76)
If all atoms, times and places are the same, everything should move with equal velocity [Sext.Empiricus]
     Full Idea: If objects are reducible to atoms, and each thing passes in an atomic time with its own first atom into an atomic point of space, then all moving things are of equal velocity.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.77)
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
If motion and rest are abolished, so is time [Sext.Empiricus]
     Full Idea: Since time does not seem to subsist without motion or even rest, if motion is abolished, and likewise rest, time is abolished.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.141)
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
Time must be unlimited, but past and present can't be non-existent, and can't be now, so time does not exist [Sext.Empiricus]
     Full Idea: There can't be a time when there was no time, so time is not limited; but unlimited time means past and present are non-existent (so time is limited to the present), or they exist (which means they are present). Time does not exist.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.142)
27. Natural Reality / D. Time / 3. Parts of Time / c. Intervals
How can time be divisible if we can't compare one length of time with another? [Sext.Empiricus]
     Full Idea: Time is clearly divisible (into past, present and future), but it can't be, because a divisible thing is measured by some part of itself (divisions of length), but the two parts must coincide to make the measurement (e.g. present must coincide with past).
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.143)
28. God / A. Divine Nature / 2. Divine Nature
How can we agree on the concept of God, unless we agree on his substance or form or place? [Sext.Empiricus]
     Full Idea: How shall we be able to reach a conception of God when we have no agreement about his substance or his form or his place of abode?
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.3)
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The existence of God can't be self-evident or everyone would have agreed on it, so it needs demonstration [Sext.Empiricus]
     Full Idea: The existence of God is not pre-evident, for if it was the dogmatists would have agreed about it, whereas their disagreements show it is non-evident, and in need of demonstration.
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.6)
29. Religion / D. Religious Issues / 3. Problem of Evil / d. Natural Evil
If God foresaw evil he would presumably prevent it, and if he only foresees some things, why those things? [Sext.Empiricus]
     Full Idea: If God had forethought for all, there would be no evil in the world, yet they say the world is full of evil. And if he forethinks some things, why those and not others?
     From: Sextus Empiricus (Outlines of Pyrrhonism [c.180], III.9)